Browsing by Author "Hussain, Azhar"

Now showing 1 - 5 of 5

Citation Count: Etemad, Sina...et al. (2021). "Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of q-calculus", Advances in Difference Equations, Vol. 2021, No. 1.
Application of some special operators on the analysis of a new generalized fractional Navier problem in the context of q-calculus
(2021) Etemad, Sina; Ntouyas, Sotiris K.; Imran, Atika; Hussain, Azhar; Baleanu, Dumitru; Rezapour, Shahram; 56389
The key objective of this study is determining several existence criteria for the sequential generalized fractional models of an elastic beam, fourth-order Navier equation in the context of quantum calculus (q-calculus). The required way to accomplish the desired goal is that we first explore an integral equation of fractional order w.r.t. q-RL-integrals. Then, for the existence of solutions, we utilize some fixed point and endpoint conditions with the aid of some new special operators belonging to operator subclasses, orbital alpha-admissible and alpha-psi-contractive operators and multivalued operators involving approximate endpoint criteria, which are constructed by using aforementioned integral equation. Furthermore, we design two examples to numerically analyze our results.
Citation Count: Hussain, Azhar; Baleanu, Dumitru; Adeel, Muhammad (2020). "Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model", Advances in Difference Equations, Vol. 2020, No. 1.
Existence of solution and stability for the fractional order novel coronavirus (nCoV-2019) model
(2020) Hussain, Azhar; Baleanu, Dumitru; Adeel, Muhammad; 56389
The aim of this work is to present a new fractional order model of novel coronavirus (nCoV-2019) under Caputo-Fabrizio derivative. We make use of fixed point theory and Picard-Lindelof technique to explore the existence and uniqueness of solution for the proposed model. Moreover, we explore the generalized Hyers-Ulam stability of the model using Gronwall's inequality.
Citation Count: Hussain, Azhar;...et.al. (2021). "Global optimization and applications to a variational inequality problem", Open Mathematics, Vol.19, No.1, pp.1349-1358
Global optimization and applications to a variational inequality problem
(2021) Hussain, Azhar; Adeel, Muhammad; Aydi, Hassen; Baleanu, Dumitru; 56389
In the present paper, we study the existence and convergence of the best proximity point for cyclic Θ-contractions. As consequences, we extract several fixed point results for such cyclic mappings. As an application, we present some solvability theorems in the topic of variational inequalities.
Citation Count: Karapınar, Erdal;...et.al. (2022). "On Interpolative Hardy-Rogers Type Multivalued Contractions via a Simulation Function", Filomat, Vol.36, No.8, pp.2847-2856.
On Interpolative Hardy-Rogers Type Multivalued Contractions via a Simulation Function
(2022) Karapınar, Erdal; Ali, Ahsan; Hussain, Azhar; Aydi, Hassen; 19184
In this paper, the notion of multivalued interpolative Hardy-Rogers-contractions using generalized simulation functions is introduced. We establish some related fixed point results and we provide some examples. We also prove data dependence of the fixed point sets. Moreover, we present strict fixed point set, well-posedness and homotopy results.
Citation Count: Baleanu, Dumitru...et al. (2021). "On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property", Advances in Difference Equations, Vol. 2021, No. 1.
On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property
(2021) Baleanu, Dumitru; Iqbal, Muhammad Qamar; Hussain, Azhar; Etemad, Sina; Rezapour, Shahram; 56389
The main intention of this article is that new techniques of existence theory are used to derive some required criteria pertinent to a given fractional multi-term problem and its inclusion version. In such an approach, we do our research on a fractional integral equation corresponding to the mentioned BVPs. In more precise words, by virtue of this integral equation, we construct new operators which belong to a special category of functions named α-admissible and α-ψ-contraction maps coupled with operators having (AEP)-property. Next, by considering some new properties on the existing Banach space having properties (B) and (Cα) , our argument for ensuring the existence of solutions is completed. In addition, we also add two simulative examples to review our findings by a numerical view. © 2021, The Author(s).